Pearson and Cox

Pearson-Cox was a motorcycle produced by Pearson and Cox
in Shortlands, Kent, from 1912 to 1914.

1913-1917 For a list of the models and prices of cars see the 1917
Red Book

1913 April. Advert for 15 hp steam car.

The firm was already well known for their steam-powered cars and after
two years of experiments they produced a similarly powered motorcycle with
a 3hp engine. This was fitted between the seat tube and the rear wheel,
which it drove by chain. The machine had a maximum speed of 40mph-45mph.
Some machines were labelled Dawn.
Sources:
Grace's Guide